6x-9/x-5

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Solution for 6x-9/x-5 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

6*x-(9/x)-5 = 0

6*x-9*x^-1-5 = 0

6*x^1-9*x^-1-5*x^0 = 0

(6*x^2-5*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(6*x^2-5*x^1-9*x^0) = 0

x^1

6*x^2-5*x-9 = 0

6*x^2-5*x-9 = 0

DELTA = (-5)^2-(-9*4*6)

DELTA = 241

DELTA > 0

x = (241^(1/2)+5)/(2*6) or x = (5-241^(1/2))/(2*6)

x = (241^(1/2)+5)/12 or x = (5-241^(1/2))/12

x in { (5-241^(1/2))/12, (241^(1/2)+5)/12} 

x in { (5-241^(1/2))/12, (241^(1/2)+5)/12 }

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